期刊论文详细信息
Journal of Mathematical Sciences
A Representation Theorem on a Filtering Model with First-Passage-Type Stopping Time
Nakashima, Takenobu1 
关键词: Information;    hazard process of default time;    intensity;    filtration.;   
DOI  :  
学科分类:数学(综合)
来源: University of Tokyo * Department of Mathematical Sciences
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【 摘 要 】

Wepresentarepresentationtheoremforafilteringmodelwithfirst-passage-typestoppingtime.Themodelisconstructedfromtwounobservableprocessesandoneobservableprocessthatisundertheinfluenceoftwounobservableprocesses.AfilterisconstructedusingBrownianmotionintheobservableprocessandafirst-passage-typestoppingtimeinanunobservableprocess.ThoughourtheoremsaresimilartothoseofNakagawacite{Nakagawa},wedonotusepinnedBrownianmotionmeasure,whichisdifficulttodealwith.Inaddition,wedescribearepresentationtheoremforanotherfiltrationthatwasnotdiscussedbyNakagawacite{Nakagawa}.

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